Abstract. In this study, the behavior of solutions to certain second order quantum (q-difference) equations with maxima are considered. In particular, the asymptotic behavior of non-oscillatory solutions is described, and sufficient conditions for os-cillation of all solutions are obtained. 1. introduction Quantum calculus has been utilized since at least the time of Pierre de Fermat [8, Chapter B.5] to augment mathematical understanding gained from the more tradi-tional continuous calculus and other branches of the discipline; see Kac and Cheung [4], for example. In this study we will analyze a second order neutral quantum (q-difference) equatio
AbstractThe aim of this paper is to study the oscillation of the second order neutral differential e...
Abstract. Consider the second order difference equation of the form ∆2(yn−1−pyn−1−k)+qnf(yn−ℓ) = 0,...
Published version of an article in the journal: Advances in Difference Equations. Also available fro...
AbstractIn this paper, the asymptotic behavior of the non-oscillatory solutions of neutral differenc...
summary:The paper can be understood as a completion of the $q$-Karamata theory along with a related ...
In this paper, we derive sufficient conditions for the oscillation of all / bounded solutions of a c...
In this thesis, we consider oscillation and nonoscillation of q-difference equations, i.e., equation...
AbstractDiscrete analogues are investigated for well-known results on oscillation, growth, and asymp...
Abstract. In this paper, we obtain sufficient conditions so that every solution of neutral functiona...
AbstractFor second-order linear and nonlinear difference equations some qualitative properties of so...
In this paper, we present versions of Massera\u27s theorem for linear and nonlinear q-difference equ...
The purpose of the doctoral dissertation is to determine the conditions for the existence and to exa...
We study asymptotic behavior of nonoscillatory solutions to second-order neutral difference equation...
Quantum calculus (also known as the q-calculus) is a technique that is similar to traditional calcul...
Abstract In this article,we present some new sufficient conditions for the oscillation of all soluti...
AbstractThe aim of this paper is to study the oscillation of the second order neutral differential e...
Abstract. Consider the second order difference equation of the form ∆2(yn−1−pyn−1−k)+qnf(yn−ℓ) = 0,...
Published version of an article in the journal: Advances in Difference Equations. Also available fro...
AbstractIn this paper, the asymptotic behavior of the non-oscillatory solutions of neutral differenc...
summary:The paper can be understood as a completion of the $q$-Karamata theory along with a related ...
In this paper, we derive sufficient conditions for the oscillation of all / bounded solutions of a c...
In this thesis, we consider oscillation and nonoscillation of q-difference equations, i.e., equation...
AbstractDiscrete analogues are investigated for well-known results on oscillation, growth, and asymp...
Abstract. In this paper, we obtain sufficient conditions so that every solution of neutral functiona...
AbstractFor second-order linear and nonlinear difference equations some qualitative properties of so...
In this paper, we present versions of Massera\u27s theorem for linear and nonlinear q-difference equ...
The purpose of the doctoral dissertation is to determine the conditions for the existence and to exa...
We study asymptotic behavior of nonoscillatory solutions to second-order neutral difference equation...
Quantum calculus (also known as the q-calculus) is a technique that is similar to traditional calcul...
Abstract In this article,we present some new sufficient conditions for the oscillation of all soluti...
AbstractThe aim of this paper is to study the oscillation of the second order neutral differential e...
Abstract. Consider the second order difference equation of the form ∆2(yn−1−pyn−1−k)+qnf(yn−ℓ) = 0,...
Published version of an article in the journal: Advances in Difference Equations. Also available fro...